Highest Common Factor of 8217, 7267, 15928 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8217, 7267, 15928 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8217, 7267, 15928 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 8217, 7267, 15928 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 8217, 7267, 15928 is 1.

HCF(8217, 7267, 15928) = 1

HCF of 8217, 7267, 15928 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 8217, 7267, 15928 is 1.

Highest Common Factor of 8217,7267,15928 using Euclid's algorithm

Highest Common Factor of 8217,7267,15928 is 1

Step 1: Since 8217 > 7267, we apply the division lemma to 8217 and 7267, to get

8217 = 7267 x 1 + 950

Step 2: Since the reminder 7267 ≠ 0, we apply division lemma to 950 and 7267, to get

7267 = 950 x 7 + 617

Step 3: We consider the new divisor 950 and the new remainder 617, and apply the division lemma to get

950 = 617 x 1 + 333

We consider the new divisor 617 and the new remainder 333,and apply the division lemma to get

617 = 333 x 1 + 284

We consider the new divisor 333 and the new remainder 284,and apply the division lemma to get

333 = 284 x 1 + 49

We consider the new divisor 284 and the new remainder 49,and apply the division lemma to get

284 = 49 x 5 + 39

We consider the new divisor 49 and the new remainder 39,and apply the division lemma to get

49 = 39 x 1 + 10

We consider the new divisor 39 and the new remainder 10,and apply the division lemma to get

39 = 10 x 3 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8217 and 7267 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(39,10) = HCF(49,39) = HCF(284,49) = HCF(333,284) = HCF(617,333) = HCF(950,617) = HCF(7267,950) = HCF(8217,7267) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 15928 > 1, we apply the division lemma to 15928 and 1, to get

15928 = 1 x 15928 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15928 is 1

Notice that 1 = HCF(15928,1) .

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Frequently Asked Questions on HCF of 8217, 7267, 15928 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 8217, 7267, 15928?

Answer: HCF of 8217, 7267, 15928 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8217, 7267, 15928 using Euclid's Algorithm?

Answer: For arbitrary numbers 8217, 7267, 15928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.